The number 1316
1316 is a composite number with 12 divisors. Its prime factorisation is × 7 × 47. Divisors (12): 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1316 is composite. Its prime factorisation is
- 3
The divisors add up to 2688; without 1316 itself that is 1372, so 1316 is abundant (1372 is more than 1316). Euler's totient φ(1316) = 552 numbers up to 1316 share no factor with it.
- 4
The digits of 1316 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1316 = 2^{2} \times 7 \times 47 \]1316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2688 |
| Euler totient φ(n) | 552 |
| Square | 1731856 |
| Cube | 2279122496 |
| Square root | 36.276714 (= 2√329) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.316 × |
1316 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixteen |
| Roman numerals | MCCCXVI |
| Binary (base 2) | 10100100100 |
| Octal (base 8) | 2444 |
| Hexadecimal (base 16) | 524 |
| Base 3 | 1210202 |
| As time | 1316 seconds = 21 min 56 s |
Is 1316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1316 ÷ 2 = 658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1316 ÷ 4 = 329) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1316 ÷ 7 = 188) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1316 a prime number?
No. 1316 = × 7 × 47, so it is divisible by 2.
What are the factors of 1316?
1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316.
What is 1316 in binary?
10100100100 (hexadecimal 524, octal 2444).
What is the square root of 1316?
About 36.2767, exactly 2√329.
What is 1316 in Roman numerals?
MCCCXVI.
Is 1316 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1316?
It is a composite number with 12 divisors.